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《Acta Analysis Functionalis Applicata》 2004-01
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Pointwise Nonsquare Constant in Normed Space

TANG Xiao-wen~1, JI Dong-hai~2, WANG Shu-xin~2 1. College of Natural Sciences, Jiamusi University, Jiamusi Heilongjiang 154007, China 2. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China  
Let X be a normed space, S(X) be the unite sphere of X, x_0∈S(X). In this paper the definitions of pointwise nonsquqre constant C_J(X,x_0) and C_S(X,x_0) are introduced. In the same time, we get their equivalent representations in normed space and estimations in Orlicz sequence space and functional space endowed with Luxemburg norm. The exact values of nonsquare constants of point in l~p and L~p space also are given.
【Fund】: Supported by NFS of China(1 0 0 0 1 0 1 0 )
【CateGory Index】: O1773.
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【References】
Chinese Journal Full-text Database 1 Hits
1 YAO Jun1,NI Lan1,LI Li2 1.Department of Mathematics and Mechanics,Heilongjiang Institute of Science and Technology,Harbin 150027,China 2.Department of Mathematics and Physics,Shandong Jiaotong University,Jinan 250023,China;Representations of Pointwise Convex Modulus in Euclidean Spaces[J];Science & Technology Review;2010-08
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 YAO Jun, LI Li, JI Dong-hai (Applied Science College, Harbin Univ. Sci.Tech. .Harbin 150080, China);The Pointwise Convex Modulus of Banach Space[J];Journal of Harbin University of Science and Technology;2005-05
2 MENG Chen-hui; CUI Yun-an; WANG Ting-fu ( Deparment of Mathematical, Harbin Institute of Technology, Heilongjiang Harbin 150001, China; Department of Mathematical, Harbin Uniuersity of Science and Technolo- gy, Heitongjtang Harbin 150080, China );Nearly Uniformly Convex in Orlicz Sequence Spaces Equipped with Orlicz Norm[J];CHINESE QUARTERLY JOURNAL OF MATHEMATICS;2000-01
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